Lesson Example Discussion Quiz: Class Homework |
Quiz At Home |
Title: Calculus |
Grade: Core-SAT3 Lesson: S6-P1 |
Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts. |
Quiz: at Home
Problem Id | Problem | Options |
---|---|---|
1 |
Use the Square Root Property to solve the equation \$ 7(6x−1)^2 − 63 = 0 \$. |
A) \$ x = 3, x = - 2 \$ B) \$ x = 2/3, x = - 1/3 \$ C) \$ x = - 2/3, x = - 1/2 \$ D) \$ x = 3/2, x = 1/2\$ |
2 |
Given the polynomial function \$ f(x) = 3x^2 − 5x + 2\$, find the roots of the equation f(x)=0. |
A) \$ x = 3/2, x = 2\$ B) \$ x = 2/3, x = 1/3\$ C) \$ x = 2/3, x = 1\$ D) \$ x = - 3/2, x = - 1/2\$ |
3 |
Solve the equation: \$(2x^2 - 5x + 3)/(x - 1) = (x^2 - 2x - 3)/(x + 2)\$. |
A) \$ (- 3 + \sqrt21)/2, (- 3 - \sqrt21)/2\$ B) \$ (3 + \sqrt21)/2, (3 - \sqrt21)/2\$ C) \$ 3 + \sqrt21, 3 - \sqrt21\$ D) \$ - 3 + \sqrt21, - 3 - \sqrt21\$ |
4 |
Find the limit of h(x) as x approaches infinity, where |
A) \$ 3/2\$ B) \$ 11/2 \$ C) \$ 9/5\$ D) \$2/3 \$ |
5 |
Evaluate the following: |
A) 5 B) \$ 125 \$ C) \$ \infty \$ D) 0 |
6 |
Factorize the quadratic expression: |
A) \$ (5z + 4)^2\$ B) \$ (5z - 4)^2\$ C) \$ (4z + 5)^2\$ D) \$ (4z - 5)^2\$ |
7 |
Determine the degree and leading coefficient, of the polynomial function r(x) = \$ 4 x^5 - 2 x^4 + 7 x^3 - 3 x^2 + 2 x - 1\$. |
A) Degree = 4 and Leading Coefficient = 5 B) Degree = 5 and Leading Coefficient = 4 C) Degree = 3 and Leading Coefficient = 2 D) Degree = 2 and Leading Coefficient = 3 |
8 |
Find the roots of the cubic function \$f(x) = x^3 - 6x^2 + 11x - 6\$. |
A) x = 1, x = 2, x = 3 B) x = 2, x = 3, x = 4 C) x = 3, x = 4, x = 5 D) x = - 1, x = 2, x = 3 |
9 |
Solve this equation: |
A) x = 1 and x = - \$3/5\$ B) x = - 1 and x = \$3/2\$ C) x = 1 and x = - \$3/4\$ D) x = 1 and x = \$3/4\$ |
10 |
Determine if the function t(x) = \$ (x^3 - 2x^2 + 5x - 1 )/( 2x^2 - x + 3 ) \$ is continuous at x = 1. |
A) No B) Can’t be determined C) Yes D) Not applicable |
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